The number 29728
29728 is a composite number with 12 divisors. Its prime factorisation is × 929. Divisors (12): 1, 2, 4, 8, 16, 32, 929, 1858, 3716, 7432, 14864, 29728.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29728 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29728 is composite. Its prime factorisation is
- 3
The divisors add up to 58590; without 29728 itself that is 28862, so 29728 is deficient (28862 is less than 29728). Euler's totient φ(29728) = 14848 numbers up to 29728 share no factor with it.
- 4
The digits of 29728 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29728 = 2^{5} \times 929 \]29728 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 58590 |
| Euler totient φ(n) | 14848 |
| Square | 883753984 |
| Cube | 26272238436352 |
| Square root | 172.418096 (= 4√1858) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.9728 × |
29728 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand seven hundred and twenty-eight |
| Binary (base 2) | 111010000100000 |
| Octal (base 8) | 72040 |
| Hexadecimal (base 16) | 7420 |
| Base 3 | 1111210001 |
| As time | 29728 seconds = 8 h 15 min 28 s |
Is 29728 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29728 ÷ 2 = 14864) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29728 ÷ 4 = 7432) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (29728 ÷ 8 = 3716) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29728 a prime number?
No. 29728 = × 929, so it is divisible by 2.
What are the factors of 29728?
1, 2, 4, 8, 16, 32, 929, 1858, 3716, 7432, 14864, 29728.
What is 29728 in binary?
111010000100000 (hexadecimal 7420, octal 72040).
What is the square root of 29728?
About 172.4181, exactly 4√1858.
Is 29728 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 29728?
It is a composite number with 12 divisors.